It seems that Ryanair is keen on the APS MCC, but other airlines don't really care about it. I haven't done either yet (just researching it myself), but it seems like the key difference is the APS MCC has a lot more time in the sim. This theoretically might mean you'll be more comfortable in the airline recruitment process, which includes a sim session.
JOC is jet orientation course. If the MCC simulator is a jet you can easily integrate this into it, but you can also do the MCC in a multi-crew turboprop aircraft (sim). Some airlines seem to list JOC as a prerequisite, some of them don't.